Search a number
-
+
36561431 = 293167607
BaseRepresentation
bin1000101101111…
…0001000010111
32112210111212002
42023132020113
533324431211
63343345515
7622524044
oct213361027
975714762
1036561431
1119702165
12102b229b
1377616aa
144bda1cb
15332303b
hex22de217

36561431 has 16 divisors (see below), whose sum is σ = 39690240. Its totient is φ = 33596640.

The previous prime is 36561403. The next prime is 36561433. The reversal of 36561431 is 13416563.

It is a happy number.

36561431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36561431 is a prime.

It is a super-2 number, since 2×365614312 = 2673476473535522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36561394 and 36561403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59930 + ... + 60536.

It is an arithmetic number, because the mean of its divisors is an integer number (2480640).

Almost surely, 236561431 is an apocalyptic number.

36561431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

36561431 is a deficient number, since it is larger than the sum of its proper divisors (3128809).

36561431 is a wasteful number, since it uses less digits than its factorization.

36561431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its digits is 6480, while the sum is 29.

The square root of 36561431 is about 6046.6049151569. The cubic root of 36561431 is about 331.9003638449.

Adding to 36561431 its reverse (13416563), we get a palindrome (49977994).

The spelling of 36561431 in words is "thirty-six million, five hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 29 31 67 607 899 1943 2077 17603 18817 40669 60233 545693 1179401 1260739 36561431